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Finding the Fourth Proportional to 4,587.84, 6,881.76 and 1,509.84

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Solution

The fourth proportional to 4,587.84, 6,881.76 and 1,509.84 is: 2,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587.84 : 6,881.76 = 1,509.84 : x
  2. Step 2: Convert to fraction form
    4,587.84/6,881.76 = 1,509.84/x
  3. Step 3: Cross multiply
    4,587.84x = 6,881.76 × 1,509.84
  4. Step 4: Simplify right side
    4,587.84x = 10,390,356.52
  5. Step 5: Solve for x
    x = 10,390,356.52/4,587.84
  6. Step 6: Final answer
    x = 2,264.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.